Fate and Madness

Pay attention

So, yeah, David Hume wrote something that I discovered many years ago and have more than once quoted in my own rambling prose. In particular:

“Abstruse thought and profound researches I prohibit, and will severely punish, by the pensive melancholy which they introduce, by the endless uncertainty in which they involve you, and by the cold reception which your pretended discoveries shall meet with, when communicated. Be a philosopher; but, amidst all your philosophy, be still a man.”

I haven’t a clue who he was writing about, but I’m guessing his circle of acquaintances included many contemporary intellectuals, and many of these would have been young and driven; firebrands. Their eager neediness to have their groundbreaking discoveries recognized by a viscously entrenched body of mainstream luminaries would have driven many close to or beyond madness. Hume evidently found such behavior annoying, and in response wrote what he wrote. The tl;dr version is: “Cut it out.”

We’ll never know the names of the majority of such roadkill, and it isn’t only failing to achieve recognition that drives these individuals to the brink and beyond. The “abstruse thought and profound researches” alone can, even if recognized, eat at the soul and leave the mind gasping for air (I do love my metaphors).

The really good – if rather too dramatic – BBC series, Dangerous Knowledge, focuses on four well-known researchers in mathematics and physics: Georg Cantor, Ludwig Boltzmann, Kurt Gödel and Alan Turing. All ended their lives deeply disturbed. Cantor and Boltzmann confronted the dual foes of deep obsessive thinking, and a resistant mainstream. Turing’s case is somewhat unique, and his inclusion doubtless had much to do with his British nationality, a nationality that contributed greatly to his downfall. Gödel, on the other hand, was showered with acclaim throughout most of his life, but in the end he starved himself to death, subject to profound paranoia.

PW recently linked to an excellent article about the life and work of Alexander Grothendieck. Who?

In the early 1970s, as a graduate student in mathematics, I had heard his name, but knew very little about him. A fellow graduate student, who I remember meeting at least once, would eventually become his nth wife, but I was – and am – largely clueless as to what he did to achieve international acclaim. But I am including him in this blog because of his life, and how it ended. The essay begins:

“Alexander Grothendieck started out as the greatest mathematician of the Twentieth Century, and ended up as a destitute hermit, lost in a labyrinth of ideas, dreams and maybe delusions that we still haven’t been able to decipher.”

And near the end:

“In June of 1990, Grothendieck stopped eating for 45 days. He was found by one of his children in a semicomatose state and subject to violent hallucinations, afraid for his life. Miraculously Grothendieck, who was 62 years old, survived without any physical consequences.”

Shortly after that he disappeared.

“The great mathematician, who had let his beard grow long and almost always wore a strange arab-style caftan, had taken refuge in a tiny village at the foot of the Pyrenees, where no one knew him. He lived there for 23 years, in a shabby abandoned farm, in total isolation. The village’s 200 inhabitants, who didn’t know who he was, soon got used to his presence, respecting his privacy. He received very few visits, all of them from the few people who knew about his new residence, and soon not even from them.”

Because of his parents, his life was far from uneventful; it was fraught. The weight of that life, on top of the heavier weight of his immersion into extremely abstruse thought, where no one had gone before, well, yeah, so there it is.

I’m not done, so listen up

My favorite book on 20th century theoretical physics, is The Quantum Ten: A Story of Passion, Tragedy, Ambition, and Science, by Sheilla Jones. If you’re suffering from the delusion that the founders of quantum mechanics lived happy adventurous lives – a kind of nerd Ibiza – and not prone to suicidal thoughts, when not actually committing suicide, or being institutionalized due to mental and emotional burnout, then this is the book for you.

Still, they had each other, and Solvay was not Ibiza, but it was not nothing. People like Grothendieck, Cantor and Gödel – or such is my impression – produced their groundbreaking work alone. They interacted with others, even teaching, but their intellectual labors were solitary. That kind of thing takes its toll.

I became interested in this whole genre when, after 40 years of solitary work in mathematics and physics, I realized I was teetering very close to the edge of what my mind could endure. And I had no interest in adding myself to the many famous, and much more numerous nameless, theorists who teetered off their edges. So I quit. I briefly went back to it, at Cohl Furey’s urging, but this did not end well:

“And anyway, I can’t do the work anymore. I mentioned somewhere–possibly in another book–that I told Cohl I found it psychologically difficult to work on my ideas in mathematical physics. She expressed doubts, and suggested that that would be too bad. Prodded by her reaction, I started thinking about a way of combining some ideas I’d had in pure mathematics with notions I’d had in physics. Very quickly I had a result I found rather exciting. I pursued it rabidly for a couple of weeks, and quit finally when I realized I was getting close to a mental breakdown. Such work seldom gives your brain any rest, even when asleep. I simply could not do it. I am used up.”

The great mass of conventional theorists are to all extents and purposes a book club, meeting periodically over tea to discuss arcana. I approve. But there will always be some few who look too deeply into the abyss. My advice to them: if you notice the abyss looking back into you, avert your gaze. This advice will not be heeded.

Right Ho

The Watcher

So, what’s going on? I still have cancer. Well, since I’ll have it for the rest of my life, that’s hardly a surprise. It may kill me some day, or something else may, like giant mutant angry frogs intent on punishing me for my mistreatment of their normal sized brethren when I was 9 years old. And I’d deserve it. And truth be told, I’d rather go out via frogs – big ones, and angry. As they came rushing at me, I would relax in the knowledge that weirdness does exist, and not everything is dominated by gaslighting world leaders, and – closer to home – gaslighting pop sci proponents like Kaku and Greene in their desperate attempts to stay relevant and admired by a world of fuzzy, quadrupedal, ruminant muggles. Oh, well, it’s a living. And theoretical particle physics is dead now anyway. (Ignore all pop sci articles that look like this: “Blah blah blah LHC blah blah fifth force blah blah new physics blah dee blah muon blah?” Well, ignore them until they appear in reputable places without the question mark, or words like “may”, “could”, “might”, “god”, or “cwazy wabbit”.)

You know, I’ve never been part of the human race. It took me a long time to realize this, that people with whom I associated viewed me as an amusing oddity, but always something separate. True, I spent nearly 6 decades with annoying hormones – the gundam pilots I wrote about earlier – attempting to turn me into a biological puppet, periodically wresting control of my life and will to serve their own selfish ends. But, yeah, once told I had an incurable disease, and presented with a series options for how to confront and control it, using the advice of my oncologist, and lots of googling, a therapy was devised – and very quickly implemented – that has left me pilotless, a gundam with free will. I’d always wondered what it would be like, and here, in the final years of my life, I am finding the experience fascinating. It has definitely removed me still further from humanity, the collective. Age gave me a change of perspective, but this change was more profound. At times I feel like one of MCU’s Watchers, and the odds are slim that you know what this means, but I look upon humanity, and all the fucked up crap they get up to, as an analytical cosmic intelligence might. Whoa! WHOA! Where are you going with this, Geoffrey? Take a chill pill and let’s get back to what you’d planned to do with this blog. Fuck’s sake. You’re just this guy writing on an iPad. (No, I’m not.) What? What did you say? You had better behave yourself, young man. (Pfft. [Gestures rudely.])

Great equations in physics … fuck

Before I carry on, I have to rectify a misapprehension you almost certainly harbor regarding the Dirac equation. As noted recently by PW, this is pretty much universally acknowledged to be one of the great equations of theoretical physics. Sure, and of course it is, but what makes it great – even revolutionary? There are lots of such equations that involve derivatives, ultimately integration, and a slew of analytical methods. Theoretical physicists are addicted to analysis, occasionally sniffing topology, and many harbor a conviction that more and deeper applications of analytical methods will cause unification to be born Athena-like from the forehead of analysis. But the Dirac equation is not great for the ways in which it is similar to everything else, but the manner in which it is different, and that difference is algebraic. It is architectural. This algebraic/architectural aspect of the Dirac equation is generally minimized by mainstream analytical TPers; it is an embarrassment. “And that is why you fail.”

The Wooster

As I have mentioned elsewhere once or thrice, upon retiring I wondered how I would take it, being set adrift after an adult lifetime of something resembling labor. Within little more than 24 hours I realized I had become Bertie Wooster, whose independent and labor-less lifestyle I had always found so attractive in the many works of P.G. Wodehouse revolving around this character. I began to write books that no one would ever read, but which brought me joy in their creation. Then I shifted to blogging when covid shut down foreign sources of memoir inspiration.

Wodehouse’s oeuvre is light on deep philosophical musings, and of horror and science fiction there is none. Still, in my technical writing I have droned on frequently on mathematical resonance; Wodehouse’s writing, in my cranium, creates a literary resonance that comes close to simulating an almost chemical addiction. So, for example:

“His whole attitude recalled irresistibly to the mind that of some assiduous hound who will persist in laying a dead rat on the drawing-room carpet, though repeatedly apprised by word and gesture that the market for same is sluggish or even non-existent.”

I mean, see? If you don’t, that’s ok. For many people, especially in theoretical physics, I am, to all intents and purposes, that hound, and the dead rat is my collected works in maths and physics. Cornell tried to shoo me out of the arXiv, and, failing that, shunted me into gen-phys, basically the doghouse out back. Still, I will persist in laying the dead rat on their drawing-room carpet in hopes they will see its superiority to their dead mouse, which is looking considerably more oogy than my rat.

I’ll finish with more Wodehouse, to lighten the mood of those deserving of mood lightening. You will know who you are by whether or not your mood is lightened.

“When I entered the establishment, he was leaning over the counter, his gaze riveted on some sort of merchandise which was being shown him by the gentlemanly assistant. To prod him in the hindquarters with my umbrella was with me the work of an instant.

“‘Ahoy, there, Stilton!’ I cried.

“He spun around with a sort of guilty bound, like an adagio surprised while watering the cat’s milk.

“‘Oh, hullo,’ he said.

“There was a pause. At a moment like this, with old boyhood friends meeting again after long separation, I mean to say, you might have expected a good deal of animated what-ho-ing and an immediate picking up of the threads. Of this, however, there was a marked absence. The Auld Lang Syne was strong in me, but not, or I was mistaken, equally strong in G. D’Arcy Cheesewright. I have met so many people in my time who have wished Bertram was elsewhere that I have come to recognize the signs. And it was these signs that this former playmate was now exhibiting.

“He drew me away from the counter, shielding it from my gaze with his person, like someone trying to hide the body.

“‘I wish you wouldn’t go spiking people in the backside with your beastly umbrella,’ he said, and one sensed the querulous note. ‘Gave me a nasty shock.’

“I apologized gracefully, explaining that if you have an umbrella and are fortunate enough to catch an old acquaintance bending, you naturally do not let the opportunity slip, and endeavored to set him at ease with genial chit-chat. From the embarrassment he was displaying, I might have been some high official in the police force interrupting him in the middle of a smash and grab raid. His demeanour perplexed me.”

Aaah. It’s like reading a good book while lounging in a hammock in the dappled shade of a palm tree that bends to and fro in a light tropical breeze off an azure sea. A refreshing drink, perhaps sporting a miniature umbrella, is sitting within reach at a nearby table. Bliss.

C for Cute

Helpful extraterrestrials need not apply

My brain, as is its wont, has latched onto an old idea, ignored the multiple times in the past I’ve presented it as new, and, well, you get the idea (pull my finger). So, this highly original reboot is to (re)imagine some cluster of nattily attired super intelligent aliens – or, if you want to get picky, some other sort of nattily attired entities inhabiting some other sort of unassailable intellectual pinnacle – although to be politically correct in the strictest sense, it should be stressed that they needn’t physically inhabit an actual pinnacle; I mean, they might be Mole People, or practically any kind of entity that isn’t human (totally out of the running; sorry) …

Where was I? Right. They pop to the nearest internet cafe and submit to the arXiv an actual correct TOE. The arXiv gatekeepers give it a gander, observe that it varies significantly from 99% of the ideas arising from the mainstream, and even 95% of fringe ideas, and they reject it. Of course they fucking would. What does the community of theoretical physicists have to gain? A negative amount of good things.

It should be added – although it ought to go without saying (but doesn’t) – this TOE exudes inevitability; it could not be other than it is. And no part of it could be left out without threatening the entire edifice. That’s not to say all questions are answered by this work of overarching genius, but all questions that are answerable are answered. And there would be mathematical explanations – or proofs – of why there are limits to what is knowable, and, as much as is possible, what those limits are. So, cool.

Having personally seen only a small bit of this masterpiece – written in Québécois – I decided I could use it to grade various notions floating around Middle Earth (human lands; not homes to Space Entities or Mole People) that promote themselves as efforts to find a human TOE. Peter W has been blogging about the Atiyah-Singer Index Theorem, and all things Langlands, which I give a grade of C for Cute, but that’s unfair. These things brush up against theoretical physics, but they are really pure mathematics, and cutting edge at that. They may be part of the TOE, but I’m not qualified to judge.

However, I give Category Theory a D for Dewey Decimal System, and because as a mathematics graduate student the subject made me sleepy every time I encountered it.

String Theory, of course, gets an F for Failing to give up the ghost.

And finally, Division Algebras and Parallelizable Spheres get an A for Apotheosis. And, of course, although strictly speaking I’m not supposed to share this, these bits of mathematics are integral to … but I’ve said too much.

Meanwhile on the fringe: a rambling discourse full of holes

I am widely (?) regarded as an exemplar of the scientific maverick carrying on a Sisyphean struggle to blah blah blah. LM suggested that Tony Smith (now passed) and I are/were founding fathers of what he views as an uncomfortably large pool of abhorrent crackpots unwilling to adhere to accepted dogma. But Tony and I approached theorizing rather differently. I had a small idea that was pure mathematics. It was a doorway (Speak friend, and enter); and I did enter, and I followed its mathematical path deep into Moria. There were obvious connections to physics, but – and here’s the nub – not all of physics; the connections are strongest to the groups and fields of the Standard Model. There were many side tunnels that would have led to deeper Truths, but I did not – and do not – feel competent to follow them. If the mathematics, as I understood it, did not explain some aspect of physics, I tried assiduously not to push it where it didn’t want to go. It’s a pretty little mathematical gem. It seems to me it has profound things to say about physics, but that’s just me.

And why is it just me?

Consider Tony. Unimaginably bright, he also had an abiding need to explain everything. During the years that I knew him I can’t think of any theoretical physics mystery that he did not try to encompass in his ever expanding model building. He would sometimes exhort me to expand my ideas to encompass a bigger picture. He seemed to admire my devotion to my little gem, and he wanted it expanded, merged with his own ideas. I never outright refused, but also never came close to acceding. Not my thing. Quantum gravity? Uh, yeah, hmm. Dark matter? Uh, yeah, soooo mysterious (although Tony had an explanation).

Tony was an exemplar of something that seems quite common today: a theorist intent on building models that explain everything. This may be just because such theorists’ works are those I most frequently encounter on Researchgate, so my view of what’s going on in the fringe is quite narrow.

Still, throughout the history of Middle Earth, great thinkers have convinced themselves, and occasionally many others, that all that was knowable was known. That presupposes that all mathematical ideas originating in the future may at best fine tune what is already known. And so, just to be entirely clear, because the idea is eternally resisted, the Middle Earth we are presently inhabiting is part of this long history of self-delusion. The odds that we know everything we need to know to duplicate the Mole People TOE in any but a small part are vanishingly small.

I early on internalized this notion, and it helps explain why, as a graduate student of theoretical physics in the late 1970s, I resisted efforts to get me involved in supersymmetry and QFT. The former I felt from the outset was a goofy idea. Immersion into the latter would have made me better able to judge the massive amount of work arising since QFT’s inception, but I’d have become a technician, carrying around a useful bag of tools with which to test …

Sigh. What I did instead was to follow my intuition. And when that landed me on the Dixon algebra, T, I settled down for years and studied that one thing (and a few other things that were similarly mathematically resonant). Any piece of theoretical physics that the mathematics of T did not encompass, I mostly ignored. I assiduously tried to avoid incorporating notions I felt didn’t belong in order to expand T’s explanatory power, although I was often exhorted to do so. Working with T was clear. The jungle of stuff outside of T was not clear, and my intuition said little about it. I’d be guessing – and given what I see coming out of big explainers – guessing again, and then again.

Yeah, so the Mole People could tell you why T is inevitable, that it is forced by field theoretic ideas we do not presently employ. I’d like to be around when they do, but, you know, the odds are not in my favor. And the Mole People have nothing to gain in pointing out the failings and fallacies of narrow-minded Middle Earth dogma. Au contraire …

Baguette List

Unavoidable Rant

Like addicts recognizing the need to correct misbehavior, but unable to do so – unable to break the constricting addiction, or even anymore able to imagine what that might be like – the theoretical physics elite occasionally recognizes the need to introduce ideas from the wastelands, but then they get immersed in discussions of the intricacies of QFT, or the injustice of SUSY’s failure, or [long list of 40 year old debates and failures]:

Thus the comforting bed of familiar old ideas,
it does make uninspired NPCs of them all,
And thus the native hue of resolution
Is sickled o’er with the pale cast of ennui.
And enterprises of great pith and moment —
With this regard their currents turn awry
And lose the name of action.   

But I may be in error. Other than Peter Woit’s blog, and the occasional email from friends and strangers out in the broader world, I am not really sure what’s going on the the cranium of your above average TPer … well, there is the Boston Area Physics Calendar, which gives the impression that the vast majority of theorists have moved away from HEP. And PW continues to blog about what he encounters in the media, strongly filtered by his expertise in QFT, a filter used by virtually everyone else who counts, in the estimation of everyone else who counts, as it were. One of the readers of Peter’s latest (as I write) commented:

Il est dangereux d’avoir raison dans des choses où des hommes accrédités ont tort.” Voltaire

That is: “It is dangerous to be right where accredited men are wrong.” I absolutely love this quote. In its spirit I offered the following comment:

Il est aussi dangereux d’avoir raison beaucoup de temp avant le bon moment, mais beaucoup plus triste.

This may mean: “It is also dangerous to be right a long time before the right time, but much sadder.” This is what a few years of Duolingo French will get you. Maybe I should have used “longtemps”. But anyway PW didn’t like it, and for reasons with which I can’t cavil: the comment was self serving, directly relating to my own work, which he recognized. Such comments are not allowed. Still, I was pleased with it, and … whoa … I have my own blog, which is frequently self-serving, and I don’t really care how often I serve myself.

Avoidable Rant

Moving on. I get most of my news online, and much of that with the Flipboard app on one of my many Apple devices. I subscribe to a variety of different feeds, like Travel, Science, Physics, Science Fiction, Humor and Memes. Animation too; mustn’t forget animation. And I’ve created a few of my own feeds: collections of stuff I find insightful, fascinating, and/or entertaining. I use a pseudonym.

But let’s focus here on Travel. And let’s recognize that article writers have to make a living, and the majority of them cut corners to get things out as quickly as possible. This often means that when they see one writer use an idea, they frequently glom onto it, becoming a vector in its viral spread. And the shared idea that irks me a lot (maybe not the most, but a lot) is the Bucket List.

This all started, as I recall, with the eponymous 2007 film about some old geezers (like me) who had lists of things they wanted to do and accomplish before kicking the bucket. (And here I am reminded of something that thoroughly astonishes me every time I think about it: the iPhone – and so smart phones in general – was introduced in 2007; this is, like, yesterday, right? Yet it feels like 50 years ago, so great and transformative is this technology. It has dilated time, dude! So, yeah, WTF.)

The travel articles … wait; let me find one … just a moment … just a moment (click here if you’re not HAL) … ok, back. That didn’t take long. But I found an article guilty of this transgression: “Bucket list worthy places in Japan’s scenic northeast”. But why is this a transgression? Well, of course, it may be so only to me. Ok, it is only me … maybe.

I recently read what turned out to be an autobiographical graphic novel, except it wasn’t really a novel, then, was it. It was called, We Saw Scenery, the title deriving from the parents of the author taking her on childhood trips where scenery was seen. Scenery can be cool, and when you’re a vapid young Millennial or Z, it’s an essential accoutrement to your need to plaster your face on the intertubes, with scenery in the background, at which you may never look directly. But I’m a colorful, lively and exciting (all antonyms of vapid) elder Boomer, and if I photograph scenery, the scenery takes up 100% of the photo. Still …

After a point one has to wonder, what is the point? Were I to go to Japan’s scenic northeast, in what way will I die more contentedly having done so? Of course, my attitude may be a little soured by the fact that I have a terminal illness, so anything that reminds me of that – like a 10 foot long bucket list – is moderately annoying. Scenery is nice. I like scenery. But as I have mentioned once or thrice in previous blogs, if there are not nearby cafes and interesting people walking dogs, well, I’m just not sure. Here’s my bucket list, in entirety:

Sit in cafe and watch world go by;
Read;
Write;
Make friends with every encountered dog willing to be friendly.

Yesterday at the beach I encountered a young black Labrador retriever wearing the cone of shame. I asked the owner why. She said he’d recently been “fixed”, and was still healing, so the cone was there to prevent him licking his greatly diminished privates. I got down on my knees in the sand and said some commiserating things to the poor guy, and I reached into the cone and scratched his ears, behind his ears, and everywhere else in the cone. His reaction was basically this: “Uh, excuse me. This is a little forward of you. What are you doi … oh, gods, that feels so good; you know, I can’t get to those spots myself because I’ve got this ridiculous piece of headwear, and, oh, yeah, the neck, quite itchy; I am so so grateful.” If you’re a dog person, it’s not hard to understand what they’re saying. And if you don’t understand, then you could still be a dog person, but not a person dog, like me.

Movie Reviews

Siskel and Ebert and Roeper

In 1986 two Chicago based film critics (Siskel and Ebert) took their reviewing skills to the little screen (much littler then than now, although those CRT pigs weighed a lot more than today’s flat screens). So, this is the misty past. Universities were starting to get internet connectivity that year, but the WWW was but a gleam in CERN’s eye. Still, time does pass, and eventually Siskel succumbs to illness. Ebert carries on, and after a while he – or some management type, more likely – finds a new cohost, named Roeper, who is a younger more peevish version of Siskel. In 2001 they review The Lord of the Rings, part the first, subtitled, The Fellowship of the Ring.

Keep in mind, by this time I had read that book, and the others in the trilogy, more than 10 times (total to date: 13; once in German, and once aloud to some nephews), and not because I disliked them and had a monk’s need to punish myself for past sins. No, au contraire, I was, and am, a fan. Roeper was clearly not a fan, leaning more towards the likes of Claire’s Knee, I strongly suspect. And if his take on LoTR is any indication, it is clear he had never read any of Tolkien’s works. Indeed, it seems likely he had never heard of the trilogy, and dismissed the entire genre as insignificant twaddle.

So, the LoTR episode is in full swing, and they’re bantering back and forth. Ebert has said some positive things about this grandly epic film. And then Roeper chimes in, and he says at one point: “The characters are getting tedious after a while … they go on one adventure after another …”. From this I conclude that he also thought the Iliad and the Odyssey were tedious drivel. He continues: “… this hobbit character, who’s, you know, in this elfin world, or whatever, and he’s wide-eyed and …”. Yikes. Holy fuck. I mean, he’s not strictly speaking saying anything wrong in any of this. He makes semi coherent English sentences and phrases, but yikes. And yes, “this hobbit character” – that would be Frodo – does live in a world in which elves also live, or whatever; and sure, Frodo was born and raised in the Shire, so perhaps a tad naive, but … Roeper carries on like this, utterly and entirely dismissing the film for its great sin of not pertaining to Claire’s knee, but instead continually introducing places and creatures that do not exist, and are evidently unimaginable (I mean, what next? A cyclops whose eye was put out by Noman?). And then, oh, crap, in summarizing the story he talks about “this silly little ring”, which everyone seems so preoccupied with for some bizarre reason.

Three rings for the Elven-kings under the sky,
Seven for the Dwarf-lords in their halls of stone,
Nine for mortal men doomed to die,
One silly little ring for the Dark Lord on his dark throne;
In the Land of Mordor where the shadows lie.

One silly little ring to rule them all, one silly little ring to find them,
One silly little ring to bring them all, and in the darkness bind them;
In the Land of Mordor where the shadows lie.

Well, I must confess, had the book and the movie used this modified description, I would have found it entertaining, but in being less ominous, I’d likely have stopped at 3 or 4 reads of the epic. Perhaps Roeper’s view was warped by Wagner’s opera, Der Silly Little Ring des Nibelungen. Or the Norse saga upon which it was based. Sigh. Still, Roeper by this point had given every sign that not only had he never read the books, but really seemed never to have heard of them. And it became clear at the end of his goofy tirade that he may not have known it was a “them” – that there was more than one book. Did he even know the film was based on a book?

So, yeah, finally, Roeper completely astonished me – and Ebert, who was getting more and more concerned for his cohost, who seemed to be foaming at the mouth – by complaining that the ending of the film left it so obviously wide open for a sequel to appear at some future date, draining the wallets of fans for this film number 2. At that point, in my original viewing in 2001, my jaw hit the floor. Did he just say that? WTF!?!?!? And an idea started growing in my younger – but not really young – brain: No one should be allowed to review any work of art if they have no interest in the genre, and may even disdain it.

By the way, Ebert – embarrassed for his cohost, and always the most cogent and insightful of all the critics who ever appeared on the show – did his best to help Roeper out of the hole of ignorance he’d dug for himself. He succeeded to some extent.

Alas, eventually Ebert also succumbed to illness, and the show was taken over by younger, less cogent and insightful critics. But without Ebert it was destined to fail, and although I continued to watch, albeit less regularly, I remember nothing about this later incarnation other than a general sense of annoyance.

That Reminds Me

Hollywood, like mainstream theoretical physics, is intent on diminishing the influence of any work outside their narrow purview. In the case of theoretical physics, this involves limiting exposure of the works of people like me, by keeping such works out of the arXiv, and when that is impossible, relegating the works to gen-ph, a kind of trash heap set aside for papers with which the mainstream is displeased, but can’t outright banish, because they have been published.

Hollywood doesn’t have an arXiv, but it does have film critics, and it rules them with an iron fist, if they are American, and if they want to maintain cordial relations with the mother ship. This manifests itself in generally awful reviews of good foreign films by American reviewers – especially science fiction blockbusters (Hollywood is less afraid of Clair’s Knee, for such films have a limited audience that Hollywood considers irrelevant), and a sure indication of such meddling can be found in the Rotten Tomatoes favorability numbers, which will look something like this: Critics – 22%; Viewers – 95%. Numbers like these, pertaining to foreign films, should be ignored, except for the Viewers score. (Example: Valerian and the City of a Thousand Planets. 82% of google users liked it; Rotten Tomatoes critics gave it 47%.) Ignore American reviews; see the film.

What else is going on?

Nothing, really. 2021 has been blissfully free of catastrophes and drama. The pandemic is at an end; climate change has stopped changing the climate; the peoples of the world are content with nearly everything, and they have promised to stop overpopulating your planet (not my planet – I want no part of this one – it’s a fucking nightmare); and bunnies and unicorns …

You know …

It isn’t really that mainstream theoretical physicists have formed a secret cabal to exclude everything that does not discuss, exploit, or promote QFT. It’s just that this is what they’re trained to do; they’re mostly goobers and nerds (I have some nerd-cred myself), and they like rubbing elbows at conferences while discussing familiar topics (my problem has always been that I like rubbing elbows at conferences while discussing unfamiliar topics). It’s all very comfortable, until someone outside the circle points out the lack of progress over the last 20 to 40 years in advancing our understanding of the universe. At that point they bring up the successes of QED, quarks, and quantum entanglement. If need be, more senior members may be called upon to address the outside world with stern and confident gravitas. This kind of thing still works in allaying the fears of those who suspect the theorists may not have a clue. For the time being, at least. But it’s really not a cabal. One hears talk of deep states nowadays, but really, quelle surprise. Deep states are inevitable, and they form organically, but … ooh, that’s a pretty cloud.

2021, the year that …

Bunnies and Unicorns

For this blog I’d originally written a series of global improvements that would come about in 2021, suggesting that many of the planet’s ills – like the incarceration or sentencing to death of rebellious people in doctrinaire nations; like slavery (at least 20 million people throughout the world presently enslaved); and drugs, the bad kind, that companies and cartels … well, you get the idea. Anyway, these various chunks of badness, and many more, would go away when the perpetrators would, in this new year, so full of hope, join hands around the world with bunnies and unicorns. However, I doubt I need to spell out how unlikely this is. I mean, unicorns are notoriously antisocial, and they don’t have hands. As to bunnies … let’s not go there.

Alas. My wife thought my original repetitive list was annoying. She reminded me how much I dislike lists that employ repetitive verbiage. Good point. I felt uncomfortable with what I’d written and discarded it, but I did have one hope for the new year that pertained to physics. It was this:

“Mainstream theoretical physicists, who have spent decades using their power and influence to suppress contrary ideas, and to ceaselessly promulgate the notion that facility with analytical (QFT, ST, …) and geometric (GR, ST, …) tools is the righteous and sole path to truth, under the bizarre impression that having tools, and knowing how to use them, makes you an architect with a profound understanding of design … 2021 finds them repenting and joining hands around the world with bunnies and unicorns.” So, yeah, sarcasm.

Let me just add a brief postscript to that, and then I’ll move on. In the sanctified popular science media it is occasionally admitted that theoretical physics has dug itself into a very deep hole over the last few decades. One encounters occasional mutterings from theorists themselves that what is needed are well-connected young geniuses to come along and bring us into the light … in some ill-defined future. In almost every instance it is supposed, assumed, hoped, that these young turks, having come up through the sanctified ranks, will carry on using the tools beloved by those who failed, viz., shovels.

Never once is it suggested that young turks, working outside the consecrated mainstream, may already have developed ideas that could lead the hidebound into a brighter future, and that they may have done so years ago – decades, even. The very suggestion that there may – could, at least theoretically – exist a potential evanescent future that has been assiduously disregarded in favor of a comfortably crusty past is beyond anathema (to be clear, it is the suggestion, should it be made – and it is being made; please keep up – that is beyond anathema; lots of nouns in that sentence). Anyway, I’m blushing now, so let’s stop here. Don’t want to annoy my wife.

And speaking of books …

In 1965, I think, I first encountered The Lord of the Rings trilogy at a bookstore in Wellesley, Massachusetts. I read the trilogy so often in the 2 or so decades thereafter that I was able eventually to read it in German, despite having only two college years of the language. But I knew enough of it, and more than enough of the books, to be able to follow the story easily in this foreign tongue.

In more recent years, my wife and I came to understand that our travels overseas needn’t be as broad and expansive as once they were, and we zeroed in on a very limited number of nations and places that gave us joy. As a consequence, she began to study Italian, and I French. Recalling how helpful LotR was in helping me improve my German, I recently ordered all three of the books of LotR, and The Hobbit, in French. I have begun with The Hobbit, and although French is less logical than German, and much harder to understand, still I am enjoying the experience. Bilbo Bessac (not Baggins – although sac means bag, so …) has just listened to the dwarves sing their haunting song about far away misty mountains, but he has not yet come to understand how pointed all these shenanigans are, and that he is expected to visit said mountains, despite having indicated to Gandalf that he has no interest in adventures.

Eventually Bilbo will go on adventures, but, like my wife and I, in the fullness of time he will come to feel he has had enough of the broadening influence of travel, and he will settle in Paris … er, I mean, Rivendell.

Gonads, or why there is no cure

Few of us are actually individuals, so how can we be judged as such? We are cyborgs … no, replicants … no, that’s not right either. Gundams! That’s what we are. And the pilots do not drive us from our heads, but from our gonads. In the midst of fierce battle, with the life of the male Gundam in jeopardy, if the gonad pilots get kicked they cause the Gundam host to topple over and curl up into a ball – a ball intended to protect the gonad pilots. The Gundam itself becomes immediately of secondary importance, for it is only a vehicle intended to aid the pilots in achieving their ultimate goal, a kind of immortality. The pilots are amoral, and they don’t believe in unicorns, so there will always be Gundams willing to suck the life out of other Gundams at the behest of their gonad pilots. Avoid them, if you can. It will be easier to do so once the life-sucking Gundams are isolated in Antarctica, which is the plan. Or on Mars. Mars would be best, as on Mars they would be less able to get up to mischief.

Has it really been 700 years?

“No one will listen,” says old guy

Hamster + Wheel

Having determined I was not rabidly partisan, the old guy – perhaps a bit older than myself – complained with more than a tinge of regret that no one would listen to his concerns about the state of the nation. I got the impression that lecturing his descendants had proven frustratingly and markedly lacking in efficacy. I cautiously suggested that the young people who had turned their deaf ears to him … well, it’s their world now, sort of. Still lots of elders in control of lots of stuff, but at least culturally the world belongs to the inheritors, so bemoaning the fading mores of yesteryear will change nothing. Well, that’s a bit strong perhaps. Let’s just say that there are no precedents, so the odds are slim to none.

The old guy craved a return to a world that he understood, but a world I strongly suspect only ever existed in verisimilitude. Still, were his perfect world spread out before me I rather think I’d find it attractive in many respects. But really, I’d prefer Paris in the 1920s: Paris, the Luminous Years. Woody Allen’s Midnight in Paris, as I’ve said before, and elsewhere, was an interesting depiction, but a character in it craved an even earlier time: La Belle Epoque. The main character suggested that such nostalgic cravings are natural, but they are will o’ the wisps, for the benefits attached to one age over another are illusory. Well, but you know, not always. I don’t crave America in the 1950s, nor much of anywhere in the world during the Great Depression (exception below).

The world I am gradually leaving has become uncomfortably factional, to the point that factions on the extremes wish extreme violence on factions on the opposite extremes, this involving – preferably – death. I was in college during a time of equal or greater factionalism, albeit more focused, I would say. I was the same age as those who died in the Kent State shootings. That sort of thing was less satisfying to the perpetrators than you’re maybe thinking, whichever extreme you favor.

Still, that event does not stand alone. The violent suppression of dissent is a time honored tradition throughout the world, and all of its history. Kent State is about as big an event on that list as is the murder hornet scare on the list of 2020 horrors. But, you know, crowds will go mad; and I will continue to resist going mad with them. I did that a little bit in the 1960s. Neither sorry nor proud.

Out of the line of fire in books

Speaking of yearning for other places in other times, I recently read a perfectly wonderful book: Harry’s Bar: The Life and Times of the Legendary Venice Landmark, by Arrigo Cipriani. I suppose I wouldn’t recommend it to the majority of millennials and Zs, for they will not understand why they are not the book’s focus, nor why this memoir has so many eccentric characters that are not excoriated for their lack of adhesion to modern doctrinaire …

Ooh, careful, Geoffrey. Careful. Put the old guy curmudgeon back in its box. Back away … slowly …

So, anyway, for those whose tastes are even remotely like mine, I recommend it. On the Cipriani website it has this to say:

“On May 13, 1931, Giuseppe Cipriani Senior opened Harry’s Bar in Venice. Over the years, Harry’s Bar became the place where writers, painters, artists, aristocrats, kings and queens would meet. Among them there were: Barbara Hutton, Katherine Hepburn, Gary Cooper, Giancarlo Menotti, Peggy Guggenheim, Orson Welles, Frank Lloyd Wright, Joe di Maggio, Truman Capote and Ernest Hemingway. The keys to the success of this tiny Bar were: service, freedom and lack of imposition.”

In particular, “freedom and lack of imposition”. That is, not woke. The book is hilarious, for its cast of characters includes delusional faded aristocrats, along with all the others of greater or lesser celebrity. The manner in which they all fit into this tolerant and forbearing milieu is a wonder to read, and occasionally very Fellini-esque, with the distinction that the story told in Harry’s Bar is true. It’s not Paris in the 1920s, but I’d be happy to be transported to Harry’s Bar in, say, 1932 or so.

Realistically

But this is not possible. All these moments are “lost in time, like tears in rain. Time to die.” Well, maybe not time to die just yet. 2020 has been so bad in so many ways, but although it kept SWMBO and I home, foregoing our yearly trip to the EU, and it presented me with the uncomfortable knowledge that I had a brand of stage 4 cancer, in keeping us home, it also kept us close to MGH, where I initiated a connection with a couple of excellent doctors. Quick action, and efficacious (so far) treatment, has given me hope for future trip(s) to the EU. I won’t be able to put in the miles of walking I did previously, but my favorite memory is of sitting in a cafe on Rue Cler in Paris. The sun was out, we had a table outside next to the rue, and before us was a parade of locals walking their little boofie dogfaced beasties (my term for animals of the canine persuasion, for they are beasties, they have dog faces, and they go boof, on occasion). Anyway, that hour or so we spent there was bliss, involving not only a Paris cafe, but dogs – adorable ones. Such experiences will have to do until we figure out how to transport me back in time to ….

You know, never mind that. I’ll take Paris, sun, cafe, and fluff ball parade over that other stuff. Still, Harry’s Bar does sound attractive.

Where’s the science?

I intentionally left out the science this time, but recently I got an email request – from someone who is more highly regarded in the world of theoretical physics than myself – wanting my thoughts on why there are 3 generations of lepton/quark families. I responded:

So, 3 generations. I outlined my suggestion in my 2004 JMP paper. Basically anywhere the number 3 pops up in any mathematics that has been connected to physics there is an enthusiastic collection of supporters touting that 3 as THE 3. Triality; Exceptional Jordan algebra; E₈ (ahem); Cohl’s Clifford algebra thing; …

Anyhum, I’ll go to my grave in 3+ years still quietly repeating my mantra about resonant mathematics, and in particular the two finite resonant sequences: 1,2,4,8; 1,2,8,24. The first is connected to the parallelizable spheres and the division algebras; the second to lattice theory (a la my last publication in AACA). In my 2004 paper I used this second sequence to simultaneously explain why I couldn’t use just T, but needed T²; and to explain why we seem to have 3 generations. In particular, the starting point shouldn’t be:

T = CHO

It should be

T⁶ = C¹ ⊗ H² ⊗ O³.

This is a hybrid spinor space for which we presently do not have concomitant mathematical tools … as far as I know.  

Anyway, this thrills me because it involves both 2,4,8 and 2,8,24.  It is much harder to think about than triality, Jordan algebras, big groups, or Clifford algebras, all of which are comfortable notions with long histories … too long.  

In my view, the nice thing about T⁶ is you don’t have to tack on spinors later. It is a spinor, incorporating 3 families of Dirac spinors, and their antifamilies, and all the groups fall out of the maths. But, as I made clear in 2004, we do not presently have the mathematical architecture or tools to make this a full fledged meaty model. It is skeletal.

But, like a lot of people now, I believe particle physics is at a minimum in a very deep coma, and I’m far from convinced that blather about black holes, dark mattergy, and 40 year old debates about the meaning of QM, are likely to end the coma. And I’m very ignorant in very many ways, but AdS/CFT? Is it not known that our universe is deSitter? But again, AdS is evidently so much easier to deal with mathematically, so …

T⁶ hasn’t got a prayer.

Paradigms Lost

Squirrel!

Every so often theoretical physics (TP) is visited by an idea that shakes its tail on a tree branch and causes a majority of TPers in that field to rush to the tree and yap excitedly at its base.

Bad dog! Heel!

So, yeah, great title, and great first sentence, but this is ground that I’ve covered in this blog – repeatedly. Indeed, it is ground upon which I first trod in my publications some 40 years ago. My original thought, for this blog installment, after deciding on that excellent title, Paradigms Lost, was to softly chide the pack of people known as theoretical physicists for chasing wildly after each and every brilliant new idea as though more of the same will surely lead to … to … to more good stuff. But chiding, whether soft or hard, has never, and will never, achieve its desired intent. You can’t stop a runaway locomotive with a stick.

My repetitive behavior reminds me of Joey in the movie Hackers.

• 00:43:51 Hi, my name’s Vicki and I’m an addict.
• 00:43:55 Hi. My name’s Hank and I’m an addict.
• 00:44:00 My name’s Joey, but…
• 00:44:03 I’m not an addict.
• 00:44:05 No, really. Listen.
• 00:44:06 I got in trouble with my computer.
• 00:44:08 My lawyer told the judge I’m an addict, but I’m not addicted to my computer.
• 00:44:12 No, really.
• 00:44:14 I’m not an addict.
• 00:44:15 I’m not.
• 00:44:18 Can I get some more coffee?

Grandpa’s here! Hide!

However, it’s about more than simple addiction; it’s also about aging. In principle growing old is not bad, although it will require help from a plethora of medical professionals for me to go very much further down this track. But getting older is not all cupcakes and buttercups. Well, it can be, if everyday you decide that today would be a great day to introduce cupcakes and buttercups into your life, largely forgetting that you did that same thing the day before, and the day before that. Not that cupcakes and buttercups are bad, per se, as an idée fixe – one could do worse – but one’s thoughts do tend to drift into repetition, as originality fades. I can see myself (d)evolving into that embarrassing grandparent who exhorts his grandchildren at each family gathering to pull his finger. Not that flatulence isn’t an eternally excellent source of humor; it is. And not that I actually have grandchildren; I don’t. I’ve consulted medical texts and it seems that a prerequisite for having grandchildren is to first have children. I have none of those either. But I digress; or do I?

You know, in 2014 my Seeable Matter; Unseeable Antimatter paper was published, in which it was demonstrated that division algebra mathematics, a la G M Dixon, implies that our universe is dominated by matter because antimatter has its own 4-d universe, and the two are linked by blah blah blah. But recently Researchgate notified me that a paper I published in 1989 (nine years after Quanta Magazine suggested I had given up on theoretical physics entirely) had reached 200 reads. A modest achievement, admittedly, but it prompted me to look at that paper. And what should I discover but that 31 years ago, at a minimum, and 25 years before my 2014 paper, I was already pointing out that … that … you know; what I said above. And although the 2014 paper is easily the most mathematically clean, still, I think I’d like to make a radical change and have cupcakes and buttercups today.

The cure

So, here I am bemoaning the repetitive nature of my blogging, and my life, and simultaneously … have I bemoaned the repetitive nature of my blogging in previous blogs? I think I have! Old published ideas tend to sink beneath the ocean of consciousness, then bubble up from the depths at some later time in the guise of originality.

The cure, as I see it, and have seen it, is to cease dwelling on the shortcomings inherent in the practice of theoretical physics, and to spend more time immersing myself, and both of my readers, in discussions of matters outside of science altogether. I see I’ve already done Star Wars, Game of Thrones, and Girls’ Last Tour … must-resist-desire-to-discuss-them-again … resistance is exhausting. I could do Paris; or flatulence; but I recently did a combination of Paris and flatulence, so that’s out. Think. Think!

I’ll get back to you. Not like I have any choice in the matter; writing has always been a compulsion of mine. I mean, after retiring I wrote five books. I’d have written more, but blogging … so much more immediate … and the past such a rich source of material.

Get off my lawn, ye young skallywags; and you too, ye blighted whippersnappers.

Hebetude

Sere

Here is a definition of “hebetude”: “The absence of mental alertness or physical sensitivity.” Next on the list is “hebetate”: “To blunt the sensitivity or keenness of.”

Let me explain. Decades ago, when giant beasts both strange and perilous roamed the earth, I began to collect words encountered while reading that I felt less than comfortable using in my own writing. I wrote these words down, along with definitions, in a notebook I dubbed Dixonary. I first encountered the word “hebetude” in The Chronicles of Thomas Covenant, a series of fantasy books. The author, Stephen R. Donaldson, was fond of sprinkling his prose with little used words, and I kept a dictionary at hand when reading these books.

So, yes, “hebetude” made it into the Dixonary, and as “hebetate” was nearby, it made it in too. Let’s use it in a sentence.

“The neutral and negative results of the LHC hebetated researches into theoretical particle physics worldwide, leading to a retrenchment of the field, but as custom reconciles us to everything, its practitioners have circled their wagons around stale – but beloved – ideas proven over the past 40 years to be ineffectual, but oh so comfortable.”

That was fun. In fact, however, I have never encountered the word “hebetate” in any of my reading, and even as I write it on my iPad, because it is unrecognized, it gets the dotted red underlining of death. Curiously, “hebetude” is recognized, and I actually did encounter it once. And only once.

In all the decades since, as the great reptiles slowly died out, I have never lost the feeling that if a word is encountered that rarely – once, or never – does that word lose legitimacy? I personally – despite their inclusion in my Dixonary – have always avoided the use of these words in my own writing, feeling certain that the vast majority of my readers would be as befuddled as I once was. (And now I’m wondering if the phrase “vast majority” is applicable if the number to which the phrase is being applied is ten or fewer.)

Eventually, because of my addiction to P.G. Wodehouse, I started adding meta-content to the Dixonary, viz., phrases. For example, let’s use a few:

“Theoretical particle physicists have been cut off from the exercise of making meaningful advances to their field because they labor under the misapprehension that old ways of thinking, shown to be inadequate, are preferable to giving rein to idle speculation that could imperil the cordial relations existing between mainstream theorists and the practitioners of science media.”

Anyway, it would be idle to deny that sharing my jaundiced view of theoretical physics could be hazardous. One doesn’t usually associate STEM folk with danger, but I recently read that a German mathematician was arrested for murder and cannibalism, than which nothing could be more calculated to give one the heebie jeebies. Deliquescence is preferable to ending up in a shallow grave with all my meaty bits gone into a mainstream stew.

Seminal

Meanwhile, outside the mainstream, speculation continues to run rampant. L. Motl himself, as a kind of left handed compliment, suggested that Tony Smith and myself are (well, Tony has passed, and I have a medical death sentence, so maybe “were” is the mot juste) the archetypes for all modern day “crackpots”, of which there are many. However, although my work is founded on highly developed and unassailable pure mathematics, which is then interpreted as a fully fledged foundation for the Standard Model (unavoidably so), providing explanations for a multitude of puzzling aspects … sniff. I need a tissue. Where was I? Oh, yes, without exception, although my work is frequently cited (sort of), in not one instance does the work doing the citing build upon my work. Nay, my work is used as an excuse for the author’s own speculative ideas. You know, Gürsey and Günaydin used the octonion algebra mathematics as a way of explaining color SU(3). I cited them many times, and I built upon their results, at least those that did not try to connect to quantum theory. It never occurred to me to cite them, then ignore them, and carry on as though their seminal work was irrelevant, save as an excuse for me to do something similar. Sigh. So, yeah, Motl was right.

Curiously, the first six words in the Dixonary (which I just yesterday dug out of a musty pile of old creations) are: Abnegate; Abjure; Abeyance; Acrimony; Adumbrate; and Aegis. All rather fitting, n’est ce pas? The seventh word is Accolade, but the universe has stopped at number six. Further down the list is Apotheosis. Ooh, I like that one. Let’s do that!

Manga: read right to left.

Tu es le petit déjeuner de ma vie

After I retired, SWMBO (who is sometimes referred to by the pseudonym, Franscesca) and I spent several weeks each spring in Europe, each time lavishing Paris with our resplendent presence. I wrote several proleptically bestselling books during this time, the first of which covered my peripatetic years of being a young theoretical physicist on the go. The underlying theme of that tome was the statistically implausible frequency with which my travels were met by near disasters. Maybe this was just Nature’s way of punishing me for my highly efficacious theoretical effrontery. Nature has always seemed content with the dithering investigations of mainstream theorists into the arcana of strings, loops, it-from-qubit, and amplitudeology. These folks were never punished with floods, illness, terrorism, earthquakes, … the list goes on. No, Nature’s wrath was reserved for me, for I had actually uncovered one of her secrets. Bad Geoffrey! Bad!

Ok, settle down ego. So, anyway, I wrote two subsequent travelogues, each of which continued this theme of disasters narrowly avoided. The first is entitled, Paris: je dirais même plus, and it covers our first post retirement trip to Europe in 2016. This was the year that Paris, and much of the rest of Europe, flooded. I’d like to share a section of that book, and perhaps, in so doing, dispel any notion you may have that my character is entirely frivolous. Herewith, …

The Fart that Ate Paris

In extenuation I must explain that I did not know they were there. I’m not proud of what happened, and for a little while after I felt shame, but I got over it. Also, I’d been sick, and would continue to be sick for weeks.

Ok, so we set the scene: Franscesca and I are walking, more than flâner, but less than rushing to a destination. I feel a pressure build up in my abdomen as we walk up the incline of some street. I am almost positive I gave a quick look around making sure no one was in earshot of what I was about to deliver, and I had a feeling earshot in this case was going to be rather extensive. Satisfied that the coast was clear, I let loose.

So, as you have doubtless conjectured by now, someone was within earshot – someone other than my forgiving wife, Francesca. Where the hell did they come from? How did they get just behind us? Was this some sort of stealthy French ninja thing? Were they planning on picking our pockets? Why did I not even know they were there until Francesca informed me, and described their reaction to my gaucherie?

This is her description: the man stopped in his tracks, his arms came forward, and he bent over a bit, as though he’d just been gut shot by a sniper. The woman grabbed him and pulled him quickly across the street, giving Francesca a look that mingled unforgiving bile with wonder that she, Francesca, could spend any amount of time with this unmitigated boor – i.e., me. Well, I sometimes wonder that too, but so far so good.

When informed I’d just ruined a portion of the lives of two presumably innocent Parisians I felt contrite. After some time, as is my wont, I sought to mitigate my chagrin by finding some way of thinking about my behavior that would lessen my guilt, and put some of it on the Parisian couple. And so I thought back to a scene from Paris: The Luminous Years, describing the initial reaction of many Parisians to their first viewing of cubist art. A primitive cartoon illustrated this reaction, showing a chubby man walking past cubist paintings, getting more and more distressed with each canvas, so that when he reached the window at the end of the exhibit his only recourse was to jump through it to his death, thereby ending his misery. And in this way I turned my fart into a work of art, and the reaction of the people behind us into an example of hidebound criticism of my avant-garde masterpiece, unappreciated in its time, but surely leading to posthumous glory in some future decade. Meanwhile I am and shall remain a solitary unrecognized genius whose vision will shape a future I shall never see.